An inverted pendulum on a cart is 53 cm long. The cart suddenly moves by 2.4 mm. Use gravitational acceleration of 9.81 m/s2. (a) We know from the inverted pendulum analysis that using proportional feedback for the pendulum, the system response is oscillatory. If K = 114.3 cm/rad, obtain the response of the pendulum (i. e., et)), its amplitude, and the period of oscillation. (b) Obtain the response function., et), for the same pendulum if we use proportional-plus-integral feedback with K = 114.3 cm/radian and K2 = 668.1 cm/s-radian.

heats surface water up

float.

archimedes' principle

denser than water sinks in water.

denser than mercury would sink in it

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min